Prime p₀= 2256029563381339631 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 82 2 64 2 28 2 10 2 40 2 (?)
a_n: 0 2 6 8 90 92 156 158 186 188 198 200 240 242
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 242
Found by: JayPi
db: batch=81, k=14, 4 82 64 28 10 40

SPT(16)	2256028915269772619	0 8 12 44 54 84 152 168 224 240 308 338 348 380 384 392	-648111567012
SPT(16)	2256028937375481409	0 12 18 22 58 64 88 100 192 204 228 234 270 274 280 292	-626005858222
STPT(12)	2256028955041396319	0 2 12 14 72 74 108 110 168 170 180 182	-608339943312
SPT(16)	2256029111551737227	0 2 6 56 90 114 212 222 224 234 332 356 390 440 444 446	-451829602404
SPT(16)	2256029444720718941	0 32 42 102 110 120 126 138 200 212 218 228 236 296 306 338	-118660620690
STPT(10)	2256029452505604899	0 2 12 14 30 32 48 50 60 62	-110875734732
STPT(10)	2256029693011832999	0 2 18 20 30 32 42 44 60 62	129630493368
SPT(20)	2256030090977870821	0 18 42 102 118 150 172 250 312 342 418 448 510 588 610 642 658 718 742 760	527596531190
SPT(16)	2256030503010306179	0 14 24 44 48 110 114 128 174 188 192 254 258 278 288 302	939628966548
STPT(10)	2256030535344110219	0 2 30 32 60 62 90 92 120 122	971962770588
SPT(16)	2256031157921731793	0 26 30 54 66 128 144 176 228 260 276 338 350 374 378 404	1594540392162